Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 642, 541, 189, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 541, 189, 334 is 1
GCD(642, 541, 189, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 541, 189, 334 is 1
GCD(642, 541, 189, 334) = 1
Given Input numbers are 642, 541, 189, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 642, 541, 189, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 541, 189, 334 is 1.
Therefore, GCD of numbers 642, 541, 189, 334 is 1
Given Input Data is 642, 541, 189, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 541 is 541
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 334 is 2 x 167
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(642, 541) = 347322
GCD(642, 541) = ( 642 x 541 ) / 347322
GCD(642, 541) = 347322 / 347322
GCD(642, 541) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 642, 541, 189, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 541, 189, 334?
GCD of 642, 541, 189, 334 is 1
2. Where do I get the detailed procedure to find GCD of 642, 541, 189, 334?
You can find a detailed procedure to find GCD of 642, 541, 189, 334 on our page.
3. How to find GCD of 642, 541, 189, 334 on a calculator?
You can find the GCD of 642, 541, 189, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.